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The question asks to compare two different sales jobs and determine the minimum amount of weekly sales needed to make The Furniture Barn job more profitable than The Furniture Warehouse.

### Here's how we can approach the problem:

- **Furniture Barn**: Pays 7% commission on sales. So, if the weekly sales amount is $ x $, the weekly income is:
  \[
  \text{Income from Furniture Barn} = 0.07x
  \]

- **Furniture Warehouse**: Offers a fixed salary of $460 per week plus a 4% commission on sales. So, the weekly income is:
  \[
  \text{Income from Furniture Warehouse} = 460 + 0.04x
  \]

### We need to determine the sales $ x $ at which the Furniture Barn income equals or exceeds the Furniture Warehouse income:
\[
0.07x \geq 460 + 0.04x
\]

### Solving the inequality:

1. Subtract $ 0.04x $ from both sides:
   \[
   0.03x \geq 460
   \]

2. Divide by 0.03 to solve for $ x $:
   \[
   x \geq \frac{460}{0.03} = 15,333.33
   \]

### Answer:
The sales at The Furniture Barn need to be at least **$15,334** per week (rounded to the nearest dollar) to match or exceed the earnings from The Furniture Warehouse.

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Would you like more details or have any other questions about this? 

Here are 5 related questions to explore:

1. How would the equation change if The Furniture Warehouse offered a higher commission?
2. What if The Furniture Barn offered a fixed base salary in addition to the 7% commission?
3. How can we solve this system graphically?
4. What if both companies offered the same commission rate—how would that affect the decision?
5. What other factors might influence choosing between these two jobs?

**Tip**: When comparing jobs with variable pay (like commission), always account for both fixed and variable components of income to make an informed decision.

You are offered two different furniture sales jobs. The Furniture Barn offers you a job that pays straight commission of 7% of the sales. The Furniture Warehouse offers you a job that pays a salary of $460 per week plus 4% of the sales. How much would you have to sell in a week in order for the job at The Furniture Barn to pay as well or better than the job at The Furniture Warehouse? Round the answer to the nearest cent.

Learn how to compare two different furniture sales jobs: one with a straight 7% commission and the other with a base salary of $460 and 4% commission. Discover the minimum weekly sales needed to make the 7% commission job more profitable. Perfect for students in grades 8-10 studying linear equations and inequalities.

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